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Simplifying 8 + 7(x + -3) = 6 + -6(x + -6) Reorder the terms: 8 + 7(-3 + x) = 6 + -6(x + -6) 8 + (-3 * 7 + x * 7) = 6 + -6(x + -6) 8 + (-21 + 7x) = 6 + -6(x + -6) Combine like terms: 8 + -21 = -13 -13 + 7x = 6 + -6(x + -6) Reorder the terms: -13 + 7x = 6 + -6(-6 + x) -13 + 7x = 6 + (-6 * -6 + x * -6) -13 + 7x = 6 + (36 + -6x) Combine like terms: 6 + 36 = 42 -13 + 7x = 42 + -6x Solving -13 + 7x = 42 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -13 + 7x + 6x = 42 + -6x + 6x Combine like terms: 7x + 6x = 13x -13 + 13x = 42 + -6x + 6x Combine like terms: -6x + 6x = 0 -13 + 13x = 42 + 0 -13 + 13x = 42 Add '13' to each side of the equation. -13 + 13 + 13x = 42 + 13 Combine like terms: -13 + 13 = 0 0 + 13x = 42 + 13 13x = 42 + 13 Combine like terms: 42 + 13 = 55 13x = 55 Divide each side by '13'. x = 4.230769231 Simplifying x = 4.230769231
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